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By Deo Prakash Vidyarthi; et al

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Additional resources for Scheduling in distributed computing systems : analysis, design & models

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Only one of the models proposed does not require the execution time (sec. 2). 4. The assumption of the availability of interconnection graph accommodates non-regular type of interconnection networks. 3 Scheduling Problem 5. 43 Processing node, processing element, computing node, processor have been used to refer to the same. Few other assumptions, specific to particular TA models, are ascribed with the corresponding models as depicted in the rest of the book. Notation T task: set of modules to be executed m |T|: number of modules forming the task T mi module i of task T P set of processing nodes in the DCS n |P|: number of processing nodes in P Pk Processing node k in P eik execution time for module mi running on processor Pk during the execution X m×n binary matrix corresponding to a task assignment element of X; xik 1 x ik =  0 cij dkl if mod ule m i is assigned otherwise to Pr ocessor Pk IMC cost between mi and mj during the execution distance between processing nodes Pk and Pl defined as the number of links nk number of modules already allocated on Pk at some instance of time q time quantum of the processor for round robin scheduling Height(mi) position of module mi from the root G(h) set of modules of height h Mi amount of memory required by module mi 44 Scheduling in Distributed Computing Systems Sk memory capacity of processing node Pk R(T,X) reliability of DCS when task T is allocated by the assignment X Rk(T,X) reliability of processing node Pk Rpq(T,X) reliability of link lpq lpq link connecting node Pp and Pq λk failure rate of node Pk λpq failure rate of link lpq Wpq transmission rate of link lpq Cijh communication between modules mi and mj of task Th eihk execution time of module mi of task Th on processing node Pk xihk element of assignment matrix for multiple task allocation 1 if mod ule mi of task Th is assigned to Pr ocessor Pk xihk =  0 otherwise Mij memory requirement of module mi of task Tj Lavg Load Average Lmax.

We will discuss only the Lamport time stamping here that deals with logical ordering [6-7]. Physical clock synchronization deals with how the two nodes of a distributed system for which the time on physical clocks are different will be synchronized. It is important also otherwise it may become catastrophic. For example, in a distributed system a job is being executed that compiles all the files belonging to that job and then execute it. These files for the job may be located on different nodes of the system.

2). 4. The assumption of the availability of interconnection graph accommodates non-regular type of interconnection networks. 3 Scheduling Problem 5. 43 Processing node, processing element, computing node, processor have been used to refer to the same. Few other assumptions, specific to particular TA models, are ascribed with the corresponding models as depicted in the rest of the book. Notation T task: set of modules to be executed m |T|: number of modules forming the task T mi module i of task T P set of processing nodes in the DCS n |P|: number of processing nodes in P Pk Processing node k in P eik execution time for module mi running on processor Pk during the execution X m×n binary matrix corresponding to a task assignment element of X; xik 1 x ik =  0 cij dkl if mod ule m i is assigned otherwise to Pr ocessor Pk IMC cost between mi and mj during the execution distance between processing nodes Pk and Pl defined as the number of links nk number of modules already allocated on Pk at some instance of time q time quantum of the processor for round robin scheduling Height(mi) position of module mi from the root G(h) set of modules of height h Mi amount of memory required by module mi 44 Scheduling in Distributed Computing Systems Sk memory capacity of processing node Pk R(T,X) reliability of DCS when task T is allocated by the assignment X Rk(T,X) reliability of processing node Pk Rpq(T,X) reliability of link lpq lpq link connecting node Pp and Pq λk failure rate of node Pk λpq failure rate of link lpq Wpq transmission rate of link lpq Cijh communication between modules mi and mj of task Th eihk execution time of module mi of task Th on processing node Pk xihk element of assignment matrix for multiple task allocation 1 if mod ule mi of task Th is assigned to Pr ocessor Pk xihk =  0 otherwise Mij memory requirement of module mi of task Tj Lavg Load Average Lmax.

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