Question: Currently, students are complaining about the long waiting time during the service. The library management is thinking of adding two help desks and two new

Currently, students are complaining about the long waiting time during the service. The library management is thinking of adding two help desks and two new employees as the alternative to solve the problem. As the operation analyst, you were asked to evaluate the alternative solution's waiting time and compare it with the current system. The cost to set up each counter is RM 5,000, and the monthly payment for each new worker is RM 2,000.

Currently, students are complaining about the

Arrival rate: 15/3 = 5 students per hour

Service rate: 20 students per hour

Comparation between current system and alternative solution

U = Utilization of help desk server

L= Average number of students in the system

Lq= Average number of students waiting line in line

W= Average time a student spends in the system

Wq= Average time a student spends waiting in line

U

L

Lq

W

Wq

Current system

0.75

3 students

2.25 students

0.2/12 min

0.15/9 min

Alternative Solution

0.25

0.33 student

0.08 student

0.07/1 min

0.07/4 min

What is the suggestion for this problem? Is it better to maintain with the current system, or to change to the alternative solution? Explain your answer.

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. AN OM for Windows FILE EDIT VIEW TAYLOR MODULE FORMAT TOOLS C SOLUTIONS HELP EDIT DATA . Edit Data Copy Paste Autofit Full Widen New Open Save Print Insert Insert Copy Cell Calculator Normal Comment Snip Calendar Help Columns Columns Screen Row(s) Column(s) Down Distribution Table formatting Arial - 10 .* Fix Dec 0.0 ", Selected cells formatting B IUEA INSTRUCTION: There are more results available in additional windows. These may be opened by using the SOLUTIONS menu in the Main Menu. Cost analysis Time unit arrival, service rate) Module tree Hide Panel O No costs - Breakeven/Cost-Volume Analysis Hours - Decision Analysis Use Costs - Forecasting Game Theory Goal Programming - QM for Windows - [Data) Results - Ox Integer & Moved Integer Programming Perpustakaan Sultanah Bahiyah Solution Inventory Parameter Value Parameter Value Minutes Seconds Linear Programming Markov Analysis M/M/1 (exponential service times) 25 Average server utilization Material Requirements Planning Arrival rate(lambda) 5 Average number in the queue(La) 08 +- Networks Service rate(mu) 20 Average number in the system(L) 33 - Project Management (PERT/CPM) 1 Number of servers Average time in the queue(Wa) .02 Quality Control 1 60 Average time in the system(W) 07 4 Scoring Model 240 Simulation Probability (% of time) system is empty (PO) 75 - Statistics (mean, var, sd, normal dist) Transportation - Waiting Lines M/M/1 lexponential service time: M/D/1 Iconstant service times) M/G/1 (general service times) M/Ek/1 (Erlangt Service Times) M/M/s M/M/1 with a Finite System Size M/M/s with a Finite System Size -M/M/1 with a Finite Population M/M/s with a Finite Population Table of Probabilities Graphs of Probabilities Waiting Lines/M/M/1 (exponential service times) Solution Screen Taylor's Introduction to Management Science Textbook Developed by Howard J. Weiss POM 3:20 PM H QM 30'C Mostly sunny AD0DENG 26/6/2021

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