Related Experiment Video
Updated: Jun 4, 2025
05:30
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
Published on: September 8, 2023
484
A finite source retrial queueing inventory system with stock dependent arrival and heterogeneous servers
T Harikrishnan1, K Jeganathan2, Shweta Redkar3
1Department of Mathematics, Guru Nanak College (Autonomous), Chennai, India.
Scientific Reports
|December 23, 2024
Summary
This study analyzes a stochastic inventory system where arrival rates depend on stock levels. It examines how server speeds affect customer waiting times and system efficiency, offering insights for inventory management.
Area of Science:
- Operations Research
- Stochastic Modeling
Background:
- Inventory systems are crucial for supply chain management.
- Stochastic models help analyze complex systems with uncertainty.
Purpose of the Study:
- To analyze a finite-source, stock-dependent stochastic inventory system with multiple servers and a retrial facility.
- To investigate the impact of (s, Q) ordering policy on system performance.
- To evaluate the effect of homogeneous and heterogeneous service rates on key performance metrics.
Main Methods:
- Developed a mathematical model for the inventory system.
- Calculated steady-state joint probability distribution for inventory, servers, and customer queues.
- Conducted numerical analysis comparing homogeneous and heterogeneous service rates.
Main Results:
- The study provides the joint probability distribution for system states.
- Numerical analysis reveals the impact of service rate variations on customer impatience and retrial success.
- Identified optimal strategies for managing inventory and customer flow.
Conclusions:
- The stock-dependent arrival rate significantly influences system dynamics.
- Service rate heterogeneity impacts system performance metrics like customer waiting and retrial success.
- The (s, Q) policy effectively manages inventory levels in this stochastic environment.
Related Concept Videos
01:25Distribution Reliability and Automation
105
Distribution reliability in electrical power systems is critical for ensuring an uninterrupted power supply to consumers at minimal cost. According to IEEE Standard Terms, reliability is the probability that a device will function without failure over a specified time period or amount of usage. For electric power distribution, this translates to maintaining continuous power supply and addressing customer concerns over power outages. Several indices, as defined by IEEE Standard 1366-2012, are...
105
01:19Uniform Distribution
4.8K
The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular.
Two essential properties of this distribution are
Two essential properties of this distribution are
4.8K
01:22Multi-input and Multi-variable systems
96
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
In the absence...
96
02:03Law of Independent Assortment
54.2K
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
54.2K
01:09Poisson Probability Distribution
7.8K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
7.8K
01:14Model Approaches for Pharmacokinetic Data: Compartment Models
75
Compartmental analysis is a widely adopted approach to characterizing drug pharmacokinetics. It uses compartment models that conceptualize the body as a collection of reversibly communicating compartments, each representing a group of tissues exhibiting similar drug distribution characteristics. The movement rate of the drug between these compartments is typically described by first-order kinetics.
Two primary types of compartment models are recognized: mammillary and catenary. The more...
Two primary types of compartment models are recognized: mammillary and catenary. The more...
75