Application of Queuing Theory in Tobacco Supply Chain Analysis

This report analyzes the application of queuing theory to optimize the tobacco supply chain, specifically focusing on the problems faced by PT XYZ in receiving dried tobacco from local collectors (bandol). The research aims to identify the existing queuing system, determine a suitable queuing model, and minimize costs associated with the system. The study examines the challenges of long queues and waiting times, impacting both costs and efficiency. The report outlines the queuing system, the relevant formulas, and the rationale behind the chosen approach. It proposes solutions such as controlling the number of arrivals, creating separate pathways for different tobacco types, and optimizing service processes. The report also provides insights into the importance of the queuing system, including the calculation of average queue time (0.182 seconds) and queue length (1 unit), as well as considerations for system improvements, like changing the service system and unloading all graders and carriers. The report references relevant literature on operations research and queuing theory, providing a comprehensive analysis of the tobacco supply chain.

Prepared by:
Moh Zainal Arifin, Banun Diyah
Probowati*, Sri Hastuti
APPLICATIONS OF QUEUING
THEORY IN THE TOBACCO SUPPLY

Objectives of problems in the article
Objective of problems in the article
Appropriate
queuing
system
Appropriate
queuing
approach
Cost of
queuing
system

Reason for the choice of queuing system
Arriving
of
suppliers
Queuin
g/
waiting
Service facility
1
2
3
4
Served
custome
rs

How is it relevant
Graders
Queues
1 2 3 4

Questions used
• Probability p of the system
• Probability of zero unit in the system
• Unit of transportation in the queuing system
• Average time to be served in a queue

What the equation means
1. Probability in the system = P =
2. Probability of zero unit in the system (P0) =

What the equation means
3.Unit transportation
• Lq =
• Ls = Lq +
4. Average time of the queue
• Wq =
• Ws =

Reason for choosing this approach
Multiple channel
Arrival
s
servic
e
facilit
y
service
facility
service
facility
service
facility
Servic
e
units

Objective of this approach
Duration of time used
Average queue time = 0.00005 hour = 0.182
seconds.
Queue length = 1 unit

The solution
Solution
1. Controlling the number of arrivals from
bandol and its loads per day
2. Creation of pathway that would service
different tobacco types transportations that
would be used
3. Creation of separate path between trucks and
pick-up to slightly minimize the queue in the
system and would not affect the PT XYZ’s
cost.

Addition insight
1. Changing system of services
2. Unloading all the graders and carriers

References
•Bustani H. 2005. Fundamental Operation Research. PT Gramedia
Pustaka Utama. Jakarta.pp 143-155.
•LevinRI. 2002. QuantitativeDecision Making. Rajawali
Press.,Jakarta.
•MakfoeldD, 2005. KnowSomePhysicalAssessmentof Qualityof
Tobaccoin Indonesia. Liberty, Jogjakarta.