GATE MN 2027 | MMT-11 Mock Test L-2 |PERT/CPM & Advanced EOQ Numerical | By Vaishnavi Ma'am
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GATE MN 2027 | MMT-11 Mock Test L-2 |PERT/CPM & Advanced EOQ Numerical | By Vaishnavi Ma'am
208 просмотров · 2 нед. назад
MINING GYAN
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208 просмотров · 2 нед. назад
Welcome to Lecture 2 of the MMT-11 Mock Test Discussion for the GATE MN 2027 Exam, presented by Vaishnavi Ma'am! This session provides in-depth solutions to high-level Operations Research and Industrial Engineering numericals.
The lecture begins with a deep dive into Project Management (PERT/CPM). Vaishnavi Ma'am walks you through a complex Project Crashing problem, showing you how to find the critical path, calculate Crash Slopes, and determine the Minimum Total Project Cost by balancing direct costs with indirect (rent/overhead) costs. You'll also learn how to calculate probable project durations using the PERT formula (Mean ± 3 × Standard Deviation) and variances ($\sigma^2$).
The second half of the class focuses extensively on advanced Inventory Management models. We explore Economic Order Quantity (EOQ) problems with changing parameters—calculating exactly how much total cost increases when actual demand turns out higher than estimated demand.
Vaishnavi Ma'am also explains how to incorporate Shortage (Stock-out) Costs into the EOQ formula to calculate Maximum Shortage Levels and Minimum Relevant Costs. Finally, the session wraps up with a Quantity Discount model, evaluating three different pricing tiers to find the most cost-effective order quantity.
🕒 Video Chapters / Timestamps:
[00:04] Project Management (CPM): Calculating Minimum Total Project Cost using Crash Slopes
[02:22] Identifying the Critical Path and reducing activity times iteratively
[05:54] Balancing Direct Costs with Indirect Costs to find optimal project duration
[07:00] Finding Minimum Possible Project Duration by crashing all activities
[09:51] Inventory Management (EOQ): Calculating the percentage increase in total cost when actual demand exceeds estimated demand
[14:39] Project Management (PERT): Calculating probable project duration ranges (Mean ± 3 × Standard Deviation)
[16:15] Calculating Expected Mean Time ($t_e$) and Variance ($\sigma^2$) for activities on the critical path
[18:30] Inventory Management: Calculating Optimal Order Quantity and Frequency of Orders
[21:26] Calculating total savings per year by switching from a 3-month supply to EOQ
[26:25] Advanced EOQ Model: Incorporating Plant Shortage (Stock-out) Costs
[29:45] Calculating the Ratio of Maximum Shortage Level to Minimum Annual Relevant Cost
[32:26] Inventory Management: Solving a Quantity Discount schedule across three pricing tiers
[36:02] Evaluating feasible solutions when EOQ falls outside the required discount bracket
[38:27] Quick recap of the formulas and concepts covered in the session
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