Desired Resource Formulation
Posted: Thu Nov 03, 2005 11:37 am
Posted by Jim Duggan <jim.duggan@nuigalway.ie>
Hi,
I'd be interested in opinions on how best to formulate an equation for Desired Resources in a capacity constrained system. For example, consider a simple two stock system. One of the stocks is ""Backlog"", the other is ""Resources"".
[This could model a service industry such as inland revenue (tax filing) or any labour intensive supply/demand scenario. The backlog is the amount of work remaining, the resources are the amount of available labour, and the productivity is the completion rate for a single resource).]
The resources determine how quickly the Backlog is dealt with, and the size of the backlog determines how many resources are needed (assuming a goal seeking system).
The main equations are:
Backlog = INTEG(Demand - Orders Completed, Init Value)
Demand = Exogenous variable
Orders completed = MIN(Backlog, Capacity)
Capacity = Productivity * Number of Resources
Resources = INTEG (Hire Rate, Init Value)
Hire Rate = (Desired Resources - Resources)/ Adjustment Time + Expected Loss Rate (Stock management structure)
My question is: is the following formulation for Desired Resources adequate...
Desired Resources = Backlog / Productivity
(So for example, if we have a backlog of 1,000 and
the productivity of one resource is 100, then our desired resource value is 1000/100 = 10).
best regards,
Jim.
_________________________________
Dr. Jim Duggan, Chartered Engineer,
Department of Information Technology,
National University of Ireland, Galway,
IRELAND.
Email: jim.duggan@nuigalway.ie
Web: http://corrib.it.nuigalway.ie
Phone: 353-91-493336Posted by Jim Duggan <jim.duggan@nuigalway.ie>
posting date Wed, 02 Nov 2005 16:26:32 +0000
Hi,
I'd be interested in opinions on how best to formulate an equation for Desired Resources in a capacity constrained system. For example, consider a simple two stock system. One of the stocks is ""Backlog"", the other is ""Resources"".
[This could model a service industry such as inland revenue (tax filing) or any labour intensive supply/demand scenario. The backlog is the amount of work remaining, the resources are the amount of available labour, and the productivity is the completion rate for a single resource).]
The resources determine how quickly the Backlog is dealt with, and the size of the backlog determines how many resources are needed (assuming a goal seeking system).
The main equations are:
Backlog = INTEG(Demand - Orders Completed, Init Value)
Demand = Exogenous variable
Orders completed = MIN(Backlog, Capacity)
Capacity = Productivity * Number of Resources
Resources = INTEG (Hire Rate, Init Value)
Hire Rate = (Desired Resources - Resources)/ Adjustment Time + Expected Loss Rate (Stock management structure)
My question is: is the following formulation for Desired Resources adequate...
Desired Resources = Backlog / Productivity
(So for example, if we have a backlog of 1,000 and
the productivity of one resource is 100, then our desired resource value is 1000/100 = 10).
best regards,
Jim.
_________________________________
Dr. Jim Duggan, Chartered Engineer,
Department of Information Technology,
National University of Ireland, Galway,
IRELAND.
Email: jim.duggan@nuigalway.ie
Web: http://corrib.it.nuigalway.ie
Phone: 353-91-493336Posted by Jim Duggan <jim.duggan@nuigalway.ie>
posting date Wed, 02 Nov 2005 16:26:32 +0000