Modeling a supply chain using a network of queues

Bhaskar, Vidhyacharan; Lallement, Patrick

doi:10.1016/j.apm.2009.10.019

Cited by 40 publications

(13 citation statements)

References 20 publications

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“…Other suitable cost functions can also be used. We adopt M/M/1 model as it properly reflects the difficulty of resource accessing due to resource scarcity (e.g., Bhaskar and Lallement, ). Hence, we have the average waiting cost

c_{i j, s} = 1 (/) ((), λ_{j} - h_{j})

where

λ_{j}

is the service capacity and

h_{j} < λ_{j}

is the total acceptable demand flow to j .…”

Section: Modelmentioning

confidence: 99%

Vulnerability of Interdependent Urban Infrastructure Networks: Equilibrium after Failure Propagation and Cascading Impacts

Wang

Ouyang

et al. 2018

Computer aided Civil Eng

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The functionality of modern cities relies heavily on interdependent infrastructure systems such as those for water, power, and transportation. Disruptions often propagate within and across physical infrastructure networks and result in catastrophic consequences. The reaction of communities to disasters (e.g., seeking alternative resource sources) may further transfer and aggravate the burden on surviving infrastructures, which may facilitate cascading secondary disruptions. Hence, a holistic analysis framework that integrates infrastructure interdependencies and human community behaviors is needed to evaluate a city's vulnerability to disruptions and to assess the impact of a disaster. To this end, we develop a game‐theoretical equilibrium model in a multilayer infrastructure network to systematically investigate the mutual influence between the infrastructures and the communities. Two types of infrastructure failure patterns are formulated to capture general network interdependencies; network equilibrium is extended into infrastructure and community systems to address redistribution of demand for life‐supporting resources; the societal impact of disasters is estimated based on communities’ resource demand loss, cost increase, as well as total infrastructure failures. A real‐world case study based on Maiduguri, Nigeria, is implemented to demonstrate the proposed model and algorithm, and to reveal insights.

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c_{i j, s} = 1 (/) ((), λ_{j} - h_{j})

where

λ_{j}

is the service capacity and

h_{j} < λ_{j}

is the total acceptable demand flow to j .…”

Section: Modelmentioning

confidence: 99%

Vulnerability of Interdependent Urban Infrastructure Networks: Equilibrium after Failure Propagation and Cascading Impacts

Wang

Ouyang

et al. 2018

Computer aided Civil Eng

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“…A case about it exists in the order management of SC (Supply Chain), when a random arrival customer with input rate λ finds that the server of the system is on vacation (or the system is under repair) he will cancel the orders with probability p. As a result, the order input rate during the period in which the server is on guard is different from the one during server vacations (λ and λ(1 − p), respectively). The variable input rate of orders will affect some important performance measures [11] like queue length of the orders, waiting times (customer dissatisfaction), probability that any delay will occur, probability that the total delay is greater than a predetermined value, probability that all service facilities will be idle, expected idle time of the total facility, and so on.…”

Section: Introductionmentioning

confidence: 99%

Recursive solution of queue length distribution for Geo/G/1 queue with single server vacation and variable input rate

Luo

Xiang

et al. 2011

Computers & Mathematics with Applications

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a b s t r a c tIn this paper we consider discrete time Geo/G/1 queue with single server vacation and variable input rate. Using renewal process, probability decomposition technique and u-transform, we derive the recursive expressions of the queue length distributions at epochs n − , n + , and n. The results obtained in this paper indicate that the equilibrium queue length distribution no longer follows the stochastic decomposition discipline. Furthermore we derive the important relations between equilibrium queue length distributions at different epochs (n − , n + , n).

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“…Let v i , u r , and w (t) p be the optimal multipliers obtained from Model (3). The e ciency of each process for DMU k is calculated as: …”

Section: Relative E Ciency Studies In Transportationmentioning

confidence: 99%

“…The supply chain may also be de ned as a network of associated and interdependent organizations reciprocally and cooperatively working together to handle, regulate, monitor, and improve the ows of resources and information from rst producers to end consumers [3].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Supply Chain of a Shipping Company in Iran by a Fuzzy Relational Network Data Envelopment Analysis Model

2017

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Abstract. The existing relational network Data Envelopment Analysis (DEA) models evaluate the performance of Decision Making Units (DMUs) with precise data. Whereas, in the real-world applications, there are many Supply Chain (SC) networks with imprecise and vague gures. This paper develops a relational network DEA model for evaluating the performance of supply chains with fuzzy numbers. The proposed fuzzy model is capable of evaluating the performance of all kinds of network structures. A pair of twolevel mathematical programs is utilized to convert the fuzzy relational network DEA to a conventional crisp one. For this purpose, the upper and lower bounds of the e ciencies are calculated by -cut concept. The proposed model is implemented using actual data from the supply chain of an international shipping company in Iran.

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Modeling a supply chain using a network of queues

Cited by 40 publications

References 20 publications

Vulnerability of Interdependent Urban Infrastructure Networks: Equilibrium after Failure Propagation and Cascading Impacts

Vulnerability of Interdependent Urban Infrastructure Networks: Equilibrium after Failure Propagation and Cascading Impacts

Recursive solution of queue length distribution for Geo/G/1 queue with single server vacation and variable input rate

Evaluation of Supply Chain of a Shipping Company in Iran by a Fuzzy Relational Network Data Envelopment Analysis Model

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