author_facet Liu
Liu
author Liu
spellingShingle Liu
Mathematics
A Group Replacement Decision Support System Based on Internet of Things
General Mathematics
Engineering (miscellaneous)
Computer Science (miscellaneous)
author_sort liu
spelling Liu 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7090810 <jats:p>This paper combines computer-based monitoring technologies and Internet of things (IoT) technology to develop IoT condition-based group replacement decision support system for a production/service system with numerous parallel independent operating servers. This proposed IoT conditioned-based group replacement decision support system first develops the discounted cost model for a service/production system with numerous independent working servers. The original discounted cost model is further revised into an equivalent model to stimulate the proof procedure by applying the uniformization approach. Several significant theoretical properties are proved and many numerical examples are conducted for two kinds of group replacement policies, respectively. The first class of group replacement policy is developed and proved theoretically that there is a threshold of amount of customers existed to activate the group replacement depending on various amount of operating servers; numerical examples conducted in this study can also illustrate the above theoretical outcomes already derived for the first class of group replacement policy. Besides, for the second class of group replacement policy, the results of numerical examples definitely demonstrate that there is a threshold of the amount of operating servers needed to start the group replacement according to distinct amount of customers in the system. This proposed IoT condition-based group replacement decision support system derives the structure and detailed procedure flow to actually conduct the group replacement operations for many practical service or production systems.</jats:p> A Group Replacement Decision Support System Based on Internet of Things Mathematics
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title A Group Replacement Decision Support System Based on Internet of Things
title_unstemmed A Group Replacement Decision Support System Based on Internet of Things
title_full A Group Replacement Decision Support System Based on Internet of Things
title_fullStr A Group Replacement Decision Support System Based on Internet of Things
title_full_unstemmed A Group Replacement Decision Support System Based on Internet of Things
title_short A Group Replacement Decision Support System Based on Internet of Things
title_sort a group replacement decision support system based on internet of things
topic General Mathematics
Engineering (miscellaneous)
Computer Science (miscellaneous)
url http://dx.doi.org/10.3390/math7090810
publishDate 2019
physical 810
description <jats:p>This paper combines computer-based monitoring technologies and Internet of things (IoT) technology to develop IoT condition-based group replacement decision support system for a production/service system with numerous parallel independent operating servers. This proposed IoT conditioned-based group replacement decision support system first develops the discounted cost model for a service/production system with numerous independent working servers. The original discounted cost model is further revised into an equivalent model to stimulate the proof procedure by applying the uniformization approach. Several significant theoretical properties are proved and many numerical examples are conducted for two kinds of group replacement policies, respectively. The first class of group replacement policy is developed and proved theoretically that there is a threshold of amount of customers existed to activate the group replacement depending on various amount of operating servers; numerical examples conducted in this study can also illustrate the above theoretical outcomes already derived for the first class of group replacement policy. Besides, for the second class of group replacement policy, the results of numerical examples definitely demonstrate that there is a threshold of the amount of operating servers needed to start the group replacement according to distinct amount of customers in the system. This proposed IoT condition-based group replacement decision support system derives the structure and detailed procedure flow to actually conduct the group replacement operations for many practical service or production systems.</jats:p>
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author Liu
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author_sort liu
container_issue 9
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description <jats:p>This paper combines computer-based monitoring technologies and Internet of things (IoT) technology to develop IoT condition-based group replacement decision support system for a production/service system with numerous parallel independent operating servers. This proposed IoT conditioned-based group replacement decision support system first develops the discounted cost model for a service/production system with numerous independent working servers. The original discounted cost model is further revised into an equivalent model to stimulate the proof procedure by applying the uniformization approach. Several significant theoretical properties are proved and many numerical examples are conducted for two kinds of group replacement policies, respectively. The first class of group replacement policy is developed and proved theoretically that there is a threshold of amount of customers existed to activate the group replacement depending on various amount of operating servers; numerical examples conducted in this study can also illustrate the above theoretical outcomes already derived for the first class of group replacement policy. Besides, for the second class of group replacement policy, the results of numerical examples definitely demonstrate that there is a threshold of the amount of operating servers needed to start the group replacement according to distinct amount of customers in the system. This proposed IoT condition-based group replacement decision support system derives the structure and detailed procedure flow to actually conduct the group replacement operations for many practical service or production systems.</jats:p>
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spelling Liu 2227-7390 MDPI AG General Mathematics Engineering (miscellaneous) Computer Science (miscellaneous) http://dx.doi.org/10.3390/math7090810 <jats:p>This paper combines computer-based monitoring technologies and Internet of things (IoT) technology to develop IoT condition-based group replacement decision support system for a production/service system with numerous parallel independent operating servers. This proposed IoT conditioned-based group replacement decision support system first develops the discounted cost model for a service/production system with numerous independent working servers. The original discounted cost model is further revised into an equivalent model to stimulate the proof procedure by applying the uniformization approach. Several significant theoretical properties are proved and many numerical examples are conducted for two kinds of group replacement policies, respectively. The first class of group replacement policy is developed and proved theoretically that there is a threshold of amount of customers existed to activate the group replacement depending on various amount of operating servers; numerical examples conducted in this study can also illustrate the above theoretical outcomes already derived for the first class of group replacement policy. Besides, for the second class of group replacement policy, the results of numerical examples definitely demonstrate that there is a threshold of the amount of operating servers needed to start the group replacement according to distinct amount of customers in the system. This proposed IoT condition-based group replacement decision support system derives the structure and detailed procedure flow to actually conduct the group replacement operations for many practical service or production systems.</jats:p> A Group Replacement Decision Support System Based on Internet of Things Mathematics
spellingShingle Liu, Mathematics, A Group Replacement Decision Support System Based on Internet of Things, General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous)
title A Group Replacement Decision Support System Based on Internet of Things
title_full A Group Replacement Decision Support System Based on Internet of Things
title_fullStr A Group Replacement Decision Support System Based on Internet of Things
title_full_unstemmed A Group Replacement Decision Support System Based on Internet of Things
title_short A Group Replacement Decision Support System Based on Internet of Things
title_sort a group replacement decision support system based on internet of things
title_unstemmed A Group Replacement Decision Support System Based on Internet of Things
topic General Mathematics, Engineering (miscellaneous), Computer Science (miscellaneous)
url http://dx.doi.org/10.3390/math7090810