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Operations Research — Models and Worked Numerical Methods

Twenty-six readings combine the preserved sixteen-reading foundations with ten additive chapters. Teaching covers LP and duality, transportation and assignment, CPM, inventory, basic queues and decisions, integer/dynamic programming, sequencing, economic and renewal replacement, Monte Carlo and event simulation, and elementary nonlinear/KKT methods. Four original 100-mark assessments across the combined course provide explained numerical practice. This is substantive numerical learning support with stated model assumptions, not a declaration of complete university-specific curriculum or examination coverage.

₹1,499 · full-course fee · 12 months access

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What you get

Covers: Linear programming: formulate, solve and check, Simplex pivots: algebra behind the table, Duality and sensitivity: what a resource is worth, Transportation: feasible allocation and an optimality check, Assignment: row reduction and one-to-one choices, Project networks: critical path and uncertainty.
Self-paced online lessons with an AI Course Tutor (an automated service, not a live teacher).

Who it is for

Read the listed scope and prerequisites before enrolment.
A parent or guardian should manage a minor learner’s account and purchase.
Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.

Cost and duration

₹1,499

One-time full-course fee · 12 months course access

Suggested study time: 26 written lessons with exercises; self-paced

One payment for the stated access period.

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Who stands behind this course

Founded and academically directed by Dr. Saurabh Kapoor, Advocate practising before the Supreme Court of India and the Delhi High Court; LL.M. Faculty and academic responsibility

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Academic information

Founder and flagship legal academic direction: Dr. Saurabh Kapoor, Advocate, LL.M. This does not establish specialist authorship or human review of every subject. Where no named subject reviewer or review date is published, that review is not verified.

6 modules · 26 published readings. Index checked: 31/10/2026. This is a publication check, not an academic-review date.

The Course Tutor is automated. Human marking, live classes and individual feedback are not included unless expressly listed in your programme terms. Check the reading index against your syllabus.

Faculty and academic responsibility

Your course catalogue · Academic Study Support

Explore Operations Research — Models and Worked Numerical Methods

Full-course fee: ₹1,499
Course access: 12 months
Suggested study duration: 26 written lessons with exercises; self-paced

26 listed written lessons with practice and self-assessment. Twenty-six readings combine the preserved sixteen-reading foundations with ten additive chapters. Teaching covers LP and duality, transportation and assignment, CPM, inventory, basic queues and decisions, integer/dynamic programming, sequencing, economic and renewal replacement, Monte Carlo and event simulation, and elementary nonlinear/KKT methods. Four original 100-mark assessments across the combined course provide explained numerical practice. This is substantive numerical learning support with stated model assumptions, not a declaration of complete university-specific curriculum or examination coverage. Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.; General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full.; Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models.; Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive.; Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth.; This course does not award a university degree, academic credit or institutional examination equivalence.; Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review... Study duration and access validity are different; current payment options are shown at checkout.

Course suitability and AI explanation

Is this course right for you?

Read the listed scope and prerequisites before enrolment.
A parent or guardian should manage a minor learner’s account and purchase.
Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.
Not included: General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full.
Not included: Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models.
Not included: Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive.
Not included: Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth.
Not included: This course does not award a university degree, academic credit or institutional examination equivalence.
Not included: Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review.

Why consider this programme?

Choose it when the topics below match a specific gap in your preparation or learning. A structured route can help you organise study, revisit difficult ideas and build a consistent revision habit.

Compare the reading index with your goal, current level and syllabus. If you need live classes, a recognised qualification or supervised practical training, confirm those requirements separately with Admissions.

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Inside the course: topics and features

These highlights come from this programme’s published description. Use the reading index to check the material currently available.

Linear programming: formulate, solve and check
Simplex pivots: algebra behind the table
Duality and sensitivity: what a resource is worth
Transportation: feasible allocation and an optimality check
Assignment: row reduction and one-to-one choices
Project networks: critical path and uncertainty
Inventory: derive EOQ and separate stock from flow
Queues: utilisation, waiting and model limits
Decision tables, game theory and value of information
Operations Research final assessment and worked solutions
Optimisation methods continuation
Continuation assessment and explained answers
Sequencing and replacement
Simulation and nonlinear optimisation
Integrated practice and solutions

Study roadmap and online learning guidance

Your online study roadmap

A suggested method for working through Operations Research — Models and Worked Numerical Methods. Move at a pace that lets you understand and practise.

STEP 1
Understand
Read the course topics and available explanations. Identify the concepts you need to strengthen.
STEP 2
Connect
Build your own notes and relate ideas to the worked examples available in the course.
STEP 3
Apply
Attempt available exercises without looking at the answer first. Record what you can explain independently.
STEP 4
Revise
Review mistakes, revisit difficult readings and check your progress against your learning goal.

How online study can help you

Fit study around your day

Plan short study sessions around work, college or family commitments. A regular weekly routine still matters.

Revisit difficult concepts

Return to available readings and worked examples during your access period, instead of relying on one classroom explanation.

Learn without a daily commute

Study from a suitable location with an internet connection and compatible device. Practical or clinical requirements, where applicable, remain separate.

Turn reading into active revision

Make notes, attempt the available exercises and use the Course Tutor to explore questions. AI guidance can make mistakes; verify important answers.

Check available readings before you enrol

6 modules · 26 published readings in the last available index. Publication counts do not certify academic completeness.

Concepts, worked applications and independent practice · 10 readings
Optimisation methods continuation · 5 readings
Continuation assessment and explained answers · 1 readings
Sequencing and replacement · 4 readings
Simulation and nonlinear optimisation · 4 readings
Integrated practice and solutions · 2 readings

These are published programme highlights, not certification of complete syllabus coverage. Review the available reading index and trial before enrolling. ZELVU learning support does not award the underlying degree, professional registration or guaranteed result.

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Suggested study duration

26 written lessons with exercises; self-paced

LMS access

12 months course access

Delivery

Payment availability

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Payment is confirmed only after bank verification.

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Reading material available in the LMS

Compare the published modules with your examination or board syllabus before you enrol. Reading counts alone do not establish full syllabus coverage. Full lesson text is available in the protected LMS through your eligible trial or course access.

View published modules and readings

26 published readings across 6 modules.

1. Concepts, worked applications and independent practice (10 readings)

Linear programming: formulate, solve and check
Simplex pivots: algebra behind the table
Duality and sensitivity: what a resource is worth
Transportation: feasible allocation and an optimality check
Assignment: row reduction and one-to-one choices
Project networks: critical path and uncertainty
Inventory: derive EOQ and separate stock from flow
Queues: utilisation, waiting and model limits
Decision tables, game theory and value of information
Operations Research final assessment and worked solutions

2. Optimisation methods continuation (5 readings)

Dual simplex, feasibility and degenerate pivots
Transportation models: a complete three-by-three improvement
Network optimisation: shortest paths and maximum flow
Integer programming: modelling and branch-and-bound
Dynamic programming: states, recurrence and reconstruction

3. Continuation assessment and explained answers (1 readings)

OR continuation assessment: methods and optimality certificates

4. Sequencing and replacement (4 readings)

Sequencing one machine: completion, lateness and priorities
Flow-shop sequencing: Johnson's rule and a qualified extension
Economic replacement: deterioration, discounting and relevant cost
Sudden failures, renewal counts and group replacement

5. Simulation and nonlinear optimisation (4 readings)

21. Monte Carlo simulation: from probability tables to a defensible decision
22. Discrete-event queues, performance measures and policy comparison
23. Nonlinear optimisation: curvature, gradient descent and Newton steps
24. Lagrange multipliers, active sets and KKT certificates

6. Integrated practice and solutions (2 readings)

25. Integrated assessment A: planning, sequencing, replacement and uncertainty
26. Integrated assessment B: discrete decisions, projects and service systems

This index shows available reading material. It does not certify complete coverage of every university, board or examination syllabus.

Explore the 1-Day Free Trial Existing student: open readings

Detailed programme scope and suitability

What you will study

Linear programming: formulate, solve and check
Simplex pivots: algebra behind the table
Duality and sensitivity: what a resource is worth
Transportation: feasible allocation and an optimality check
Assignment: row reduction and one-to-one choices
Project networks: critical path and uncertainty
Inventory: derive EOQ and separate stock from flow
Queues: utilisation, waiting and model limits
Decision tables, game theory and value of information
Operations Research final assessment and worked solutions
Optimisation methods continuation
Continuation assessment and explained answers
Sequencing and replacement
Simulation and nonlinear optimisation
Integrated practice and solutions

Is this programme for you?

Read the listed scope and prerequisites before enrolment.
A parent or guardian should manage a minor learner’s account and purchase.
Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.
Not included: General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full.
Not included: Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models.
Not included: Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive.
Not included: Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth.
Not included: This course does not award a university degree, academic credit or institutional examination equivalence.
Not included: Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review.

Review eligibility, learning scope and the current examination requirements before committing. Academic and professional-examination support does not itself award the underlying degree or professional registration.

Admission assistance

Inside this programme

How learning works in Operations Research — Models and Worked Numerical Methods

26 listed written lessons with practice and self-assessment. Twenty-six readings combine the preserved sixteen-reading foundations with ten additive chapters. Teaching covers LP and duality, transportation and assignment, CPM, inventory, basic queues and decisions, integer/dynamic programming, sequencing, economic and renewal replacement, Monte Carlo and event simulation, and elementary nonlinear/KKT methods. Four original 100-mark assessments across the combined course provide explained numerical practice. This is substantive numerical learning support with stated model assumptions, not a declaration of complete university-specific curriculum or examination coverage. Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.; General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full.; Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models.; Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive.; Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth.; This course does not award a university degree, academic credit or institutional examination equivalence.; Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review... Study the material available for this programme in the student LMS. Features and assessments vary by course; check what is included before enrolling.

01
Follow the course outline
Start with the published modules for Operations Research — Models and Worked Numerical Methods. Read the lesson explanations and worked examples in sequence.
02
Ask the Course Tutor
Where available, ask for an explanation, comparison or revision of the lesson you are reading. The AI Course Tutor is an automated service, not a live faculty member, and can make mistakes.
03
Use available learning tools
Use the narration, visuals or videos provided in the course player. A programme introduction is not a promise of a video lecture for every lesson.
04
Practise and revise
Complete the published exercises and knowledge checks, review mistakes and revisit the relevant lessons. Check the programme’s published assessment and support details; the standard delivery is self-paced.

Learning platform details Faculty & academic responsibility Academic standards

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Before you enrol in Operations Research — Models and Worked Numerical Methods

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12 months course access

The one-time full-course fee is shown once, at the top of this page.

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Use this programme’s trial link below. Eligible access lasts 24 hours for one selected programme, with one trial per account. A parent or guardian should manage a school learner’s account.

What does the fee cover?

New Education admissions use a one-time full-course fee for the stated access period, not a monthly course subscription. Historical purchases retain their original terms.

When is admission confirmed?

Resolve programme questions with Admissions, review the current checkout options and read the terms and refund policy. A payment attempt or pending payment does not confirm admission. Paid access requires verified payment and the applicable programme checks.

Does this award a degree or guarantee selection?

This is learning or examination-preparation support. The underlying degree, professional registration, eligibility and examination rules are governed by the relevant institution or examining authority. Selection, rank and passing are not guaranteed.

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Career preparation alongside this subject

Use your learning in Operations Research — Models and Worked Numerical Methods to build an honest evidence portfolio. Suggested practice: an original academic project explained to a non-specialist. Check the actual degree and employer requirements.

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Course questions answered

What will I study in Operations Research — Models and Worked Numerical Methods?

Operations Research — Models and Worked Numerical Methods: Twenty-six readings combine the preserved sixteen-reading foundations with ten additive chapters. Teaching covers LP and duality, transportation and assignment, CPM, inventory, basic queues and decisions, integer/dynamic programming, sequencing, economic and renewal replacement, Monte Carlo and event simulation, and elementary nonlinear/KKT methods. Four original 100-mark assessments across the combined course provide explained numerical practice. This is substantive numerical learning support with stated model assumptions, not a declaration of complete university-specific curriculum or examination coverage.

What is the full-course fee and how long does access last?

The one-time full-course fee for Operations Research — Models and Worked Numerical Methods is shown at the top of this programme page, with 12 months of course access. Review the current checkout and refund terms before paying. Access time is separate from any degree duration or examination schedule.

How is the course delivered, and can I try it first?

Operations Research — Models and Worked Numerical Methods is offered by ZELVU Education. Delivery: 26 listed written lessons with practice and self-assessment. Twenty-six readings combine the preserved sixteen-reading foundations with ten additive chapters. Teaching covers LP and duality, transportation and assignment, CPM, inventory, basic queues and decisions, integer/dynamic programming, sequencing, economic and renewal replacement, Monte Carlo and event simulation, and elementary nonlinear/KKT methods. Four original 100-mark assessments across the combined course provide explained numerical practice. This is substantive numerical learning support with stated model assumptions, not a declaration of complete university-specific curriculum or examination coverage. Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established.; General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full.; Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models.; Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive.; Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth.; This course does not award a university degree, academic credit or institutional examination equivalence.; Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review.. An eligible 1-Day Free Trial provides 24-hour protected access to explore the available material. The Course Tutor is automated. Review the published reading index and course scope before enrolling.

Who should consider this programme?

Operations Research — Models and Worked Numerical Methods: Read the listed scope and prerequisites before enrolment. A parent or guardian should manage a minor learner’s account and purchase. Not included: Exact university, semester and current examination route for TYBCom or other institution-specific aliases is not established. Not included: General job-shop scheduling, precedence-constrained/parallel-machine sequencing and unrestricted multi-machine optimality are not taught in full. Not included: Continuous-time reliability, dependent failures, downtime optimisation and advanced maintenance policies remain beyond the stated replacement models. Not included: Input-distribution fitting, formal steady-state diagnostics, variance-reduction depth and simulation optimisation are not comprehensive. Not included: Global nonconvex optimisation, nonlinear solver implementations, full convergence proofs, stochastic dynamic programming, multiserver queueing and min-cost flow remain further depth. Not included: This course does not award a university degree, academic credit or institutional examination equivalence. Not included: Classroom models and synthetic examples must not be the sole basis for actual operational, maintenance, staffing or financial decisions; real decisions require validated inputs and appropriate professional review. Confirm current prerequisites with the relevant institution or examining authority. Learning support does not itself award a degree, professional registration, admission, employment or an examination result.

Check the terms and refund policy, or ask admissions about course fit.